What is the Least Common Multiple of 56379 and 56397?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 56379 and 56397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56379 and 56397, than apply into the LCM equation.

GCF(56379,56397) = 3
LCM(56379,56397) = ( 56379 × 56397) / 3
LCM(56379,56397) = 3179606463 / 3
LCM(56379,56397) = 1059868821

Least Common Multiple (LCM) of 56379 and 56397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56379 and 56397. First we will calculate the prime factors of 56379 and 56397.

Prime Factorization of 56379

Prime Factorization of 56397

Now multiplying the highest exponent prime factors to calculate the LCM of 56379 and 56397.

LCM(56379,56397) = 3¹ × 18793¹ × 11¹ × 1709¹
LCM(56379,56397) = 1059868821